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Finding the Third Proportional to 451,684.50 and 665,061.75

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Solution

The third proportional to 451,684.50 and 665,061.75 is: 979,239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,684.50 : 665,061.75 = 665,061.75 : x
  2. Step 2: Convert to fraction form
    451,684.50/665,061.75 = 665,061.75/x
  3. Step 3: Cross multiply
    451,684.50x = 665,061.75 × 665,061.75
  4. Step 4: Simplify right side
    451,684.50x = 442,307,131,313.06
  5. Step 5: Solve for x
    x = 442,307,131,313.06/451,684.50
  6. Step 6: Final answer
    x = 979,239.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.